Rebekah designs a playing field for a new sport. The playing field is pictured.
What is the area of the playing field?
To find the area of the playing field, we need to calculate the area of each individual shape within the field and then add them together.
Rectangle A:
Length = 40 meters
Width = 20 meters
Area = Length x Width = 40m x 20m = 800 square meters
Rectangle B:
Length = 30 meters
Width = 30 meters
Area = Length x Width = 30m x 30m = 900 square meters
Triangle C:
Base = 15 meters
Height = 25 meters
Area = 1/2 x Base x Height = 1/2 x 15m x 25m = 187.5 square meters
Now we add the areas of each shape together:
Total Area = 800 sqm + 900 sqm + 187.5 sqm = 1887.5 square meters
Therefore, the area of the playing field is 1887.5 square meters.